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denpristay [2]
3 years ago
7

Compute the line integral of the vector field F=⟨3zy−1,4x,−y⟩F=⟨3zy−1,4x,−y⟩ over the path c(t)=(et,et,t)c(t)=(et,et,t) for −9≤t

≤9

Mathematics
1 answer:
aev [14]3 years ago
4 0

Answer:

Step-by-step explanation:

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Find the domain of the graphed function.
Darya [45]

The domain of the graphed function is [-3, 2)

<h3>How to determine the domain and the range?</h3>

From the given graph, we have the following highlights:

  • Minimum x value = -3 (closed circle)
  • Maximum x value = 2 (open circle)

Open circles are represented with () while closed circles are represented with []

Hence, the domain of the graphed function is [-3, 2)

Read more about domain at:

brainly.com/question/2264373

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What does x equal? help pls c:
sweet-ann [11.9K]

Answer:

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Find the average of e^-x over [0,3]
yaroslaw [1]

The average value of a continuous function <em>f(x)</em> over an interval [<em>a</em>, <em>b</em>] is given by the integral,

\displaystyle \frac1{b-a}\int_a^b f(x)\,\mathrm dx

Compute the integral for <em>f(x)</em> = <em>e</em> ⁻ˣ over [0, 3] :

\displaystyle \frac1{3-0}\int_0^3e^{-x}\,\mathrm dx=\frac13(-e^{-x})\bigg|_0^3=\frac13(-e^{-3}-(-e^{-0})) = \frac13 \left(1-\frac1{e^3}\right) = \boxed{\frac{e^3-1}{3e^3}}

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What is the slope of the line through the points (2,-3) and (6,5)? m= _?_
nirvana33 [79]

Answer:it should be 5,1

Step-by-step explanation:

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What are the variables if PT= 2x, TR= y+4, QT= x+2, TS=y
Brilliant_brown [7]
The missing aspect of this question is shown in the attached image, which is that the letters correspond to vertices of a parallelogram.

A key feature of the parallelogram is that the diagonals bisect each other, therefore:

PT = TR
QT = TS

With this information we can now plug in the equations and solve for the variables x and y.

PT = TR
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y = 2x - 4

QT = TS
x + 2 = y

We now have two equations for the variable y. With this we can solve for x.

2x - 4 = x + 2
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y = x + 2
y = 6 + 2
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Once we solved for the variable x, we simply placed that value back into one of the previous equations and solved for y. The results are x = 6, y = 8.

5 0
3 years ago
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